English

On the dispersive two-photon K_L -> \mu^+ \mu^- amplitude

High Energy Physics - Phenomenology 2011-09-13 v2

Abstract

We present a full account of the two-loop electroweak, two-photon mediated short-distance dispersive KLμ+μK_L \to\mu^+\mu^- decay amplitude. QCD corrections change the sign of this amplitude and reduce it by an order of magnitude. Thus, the QCD-corrected two-loop amplitude represents only a small fraction (with the central value of 5 %) of the one-loop weak short-distance contribution, and has the same sign. In combination with a recent measurement, the standard-model prediction of the short-distance amplitude, completed in this paper, provides a constraint on the otherwise uncertain long-distance dispersive amplitude.

Keywords

Cite

@article{arxiv.hep-ph/9605337,
  title  = {On the dispersive two-photon K_L -> \mu^+ \mu^- amplitude},
  author = {J. O. Eeg and K. Kumericki and I. Picek},
  journal= {arXiv preprint arXiv:hep-ph/9605337},
  year   = {2011}
}

Comments

7 pages, 6 PS figures, uses psfig, revised version with important numerical error corrected, to appear in Z.f.Phys.C (and one additional reference)